Average Error: 0.1 → 0.1
Time: 8.5s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5
double f(double x, double y, double z, double t) {
        double r167995 = x;
        double r167996 = y;
        double r167997 = z;
        double r167998 = r167996 + r167997;
        double r167999 = r167998 + r167997;
        double r168000 = r167999 + r167996;
        double r168001 = t;
        double r168002 = r168000 + r168001;
        double r168003 = r167995 * r168002;
        double r168004 = 5.0;
        double r168005 = r167996 * r168004;
        double r168006 = r168003 + r168005;
        return r168006;
}
↓
double f(double x, double y, double z, double t) {
        double r168007 = x;
        double r168008 = y;
        double r168009 = z;
        double r168010 = r168009 + r168009;
        double r168011 = r168008 + r168010;
        double r168012 = r168011 + r168008;
        double r168013 = t;
        double r168014 = r168012 + r168013;
        double r168015 = r168007 * r168014;
        double r168016 = 5.0;
        double r168017 = r168008 * r168016;
        double r168018 = r168015 + r168017;
        return r168018;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
  2. Using strategy rm

  3. Applied associate-+l+0.1

    \[\leadsto x \cdot \left(\left(\color{blue}{\left(y + \left(z + z\right)\right)} + y\right) + t\right) + y \cdot 5\]

  4. Final simplification0.1

    \[\leadsto x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5\]

Reproduce

herbie shell --seed 2020024 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, B"
  :precision binary64
  (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5)))